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Finding the Third Proportional to 39.23 and 82.05

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Solution

The third proportional to 39.23 and 82.05 is: 171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.23 : 82.05 = 82.05 : x
  2. Step 2: Convert to fraction form
    39.23/82.05 = 82.05/x
  3. Step 3: Cross multiply
    39.23x = 82.05 × 82.05
  4. Step 4: Simplify right side
    39.23x = 6,732.97
  5. Step 5: Solve for x
    x = 6,732.97/39.23
  6. Step 6: Final answer
    x = 171.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.